MATH▲ (+1.49%)
CALC▼ (-1.35%)
ALGO▲ (+3.84%)
PERC▲ (+2.43%)
FRAC▼ (-1.91%)
STAT▲ (+1.97%)
MATH▲ (+1.49%)
CALC▼ (-1.35%)
ALGO▲ (+3.84%)
PERC▲ (+2.43%)
FRAC▼ (-1.91%)
STAT▲ (+1.97%)
QUERY GUIDE
FINANCE MENTAL MATH|WALL ST MATH
QUERY GUIDE/FINANCE MENTAL MATH/WSM EDITORIAL

Paper LBO Mental Math for PE Interviews

By WSM Editorial|How do you solve paper LBO math quickly in a PE interview?

"Paper LBO mental math means reducing entry value, leverage, exit equity, MOIC, and rough IRR into a clean timed sequence."

— WSM Direct Answer
Why This Matters in Finance

PE interviews often test whether you can explain sponsor returns without hiding inside Excel. A good paper LBO answer is fast enough to finish and structured enough for the interviewer to follow.

Worked Examples
EXAMPLE 01

Entry is 10x EBITDA on $80M EBITDA with 5x debt. Sponsor equity?

▸ About $400M.

Enterprise value is $800M. Debt is 5 x $80M, or $400M. Sponsor equity is EV minus debt, so $400M.

EXAMPLE 02

Exit equity is $760M on an initial equity check of $400M. MOIC?

▸ About 1.9x.

Divide 760 by 400. That is 1.9x, a clean first-pass return before estimating IRR.

EXAMPLE 03

A 2.0x MOIC over five years implies roughly what IRR?

▸ About 15%.

The exact entry-to-exit IRR is 2^(1/5) − 1, or 14.87%, which rounds to about 15%. Rule of 72 gives a separate mental estimate: 72 divided by 5, or 14.4%.

Check the annualized return

Use MOIC and holding period to check your return estimate. The calculator assumes one investment at entry and one receipt at exit, with no interim cash flows.

Check MOIC to annualized IRR →
Common Mistakes
✗Jumping to IRR before calculating sponsor equity and exit equity cleanly.
✗Mixing enterprise value with equity value after debt paydown.
✗Using exact decimals when a rounded return range is enough for the interview.
Practice Questions
01.A business has $60M EBITDA and is bought at 9x with 4x debt. What is sponsor equity?
02.EBITDA grows from $70M to $90M and exit multiple is 10x. What exit EV do you estimate?
03.Initial equity is $300M and exit equity is $675M. What MOIC is implied?
04.A 2.5x MOIC over five years implies roughly what IRR?
05.Debt falls from $420M to $300M. How much equity value did debt paydown create?
06.Entry EV is $1.0B and exit EV is $1.25B with $150M of debt paydown. What changed in equity value?
— END —